QF8 ­ Convert to Vertex Form.notebook
April 27, 2016
Standard and Vertex Form
vertex form standard form
Recall: Squaring a binomial results in a Perfect Square Trinomial
Example 1: Convert to standard form
y = 3(x ­ 4)2 + 7
Standard form y = ax2+bx+c
What key features can we identify?
Vertex
Direction
Step
Axis
Max/Min
Domain
Range
x­intercept
y­intercept
QF8 ­ Convert to Vertex Form.notebook
April 27, 2016
Example 2: Convert to vertex form by "completing the square."
y = 2x2 + 12x + 11 Step 1: Factor "a" out of the first
two terms
Step 2: Add and subtract the
special number
Step 3: Pull the special number out
of the brackets
Step 4: Factor the perfect square
trinomial
State the vertex, axis of symmetry, max or min value, domain and range.
Graph it.
y
10
9
8
7
6
5
4
3
2
1
­10
­8
­6
­4
­2
x
0
2
4
6
8
10
­2
­3
­4
­5
­6
­7
­8
­9
­10
Example 3: Convert to vertex form by "completing the square."
y = x2 + 8x + 7 Step 1: Factor "a" out of the first
two terms
Step 2: Add and subtract the
special number
Step 3: Pull the special number out
of the brackets
Step 4: Factor the perfect square
trinomial
QF8 ­ Convert to Vertex Form.notebook
April 27, 2016
Example 4: Covert to vertex form by "completing the square."
y = 5x ­ 0.5x2 Step 1:
Step 2:
Step 3:
Step 4:
p. 234: #2ade, 5ad, 8ade, 9adeg